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Simplifying -7(-1x + 4) = -20 + -1x Reorder the terms: -7(4 + -1x) = -20 + -1x (4 * -7 + -1x * -7) = -20 + -1x (-28 + 7x) = -20 + -1x Solving -28 + 7x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 7x + x = -20 + -1x + x Combine like terms: 7x + x = 8x -28 + 8x = -20 + -1x + x Combine like terms: -1x + x = 0 -28 + 8x = -20 + 0 -28 + 8x = -20 Add '28' to each side of the equation. -28 + 28 + 8x = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = -20 + 28 8x = -20 + 28 Combine like terms: -20 + 28 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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